Complex Analysis: A Guide to the Laurent Series

The Laurent Series: where the radius of convergence meets the radius of confusion.

• Convergence Theorem: Because you never know when it's going to happen
• Series vs Integral: the age-old debate
• Analytic Continuation: because you can always find a way to keep going

What is the Laurent Series?

The Laurent Series is a type of power series that's just as confusing as it sounds. It's like a never-ending math party with an open bar, where every drink is a fraction with a denominator that's always zero.

Who needs the Laurent Series?

You do, if you're a math major with a penchant for the absurd. It's perfect for those who enjoy a good puzzle, a challenging proof, or just a healthy dose of existential dread.

How do I get my hands on some Laurent Series action?

Just click that "Convergence Theorem" link above, and you'll be well on your way to a world of complex analysis.